Question

In the Tour de France, a bicyclist races up two successive (straight) hills of different slope and length. The first is 2.00 km long at an angle of 5o above the horizontal. This is immediately followed by one 3.00 km long at 7o.
(a) What will be the overall (net) angle from start to finish: (1) smaller than 5o, (2) between and 5o, or (3) greater than 7o?
(b) Calculate the actual overall (net) angle of rise experienced by this racer from start to finish, to corroborate your reasoning in part (a).